Solve For $y$.1. $x - Y = 15$2. $ Y = X + 15 Y = X + 15 Y = X + 15 [/tex]3. $y = \frac{x}{15}$4. $y = 15 - X$5. $ Y = X − 15 Y = X - 15 Y = X − 15 [/tex]

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Solving for y: A Comprehensive Guide to Equations and Formulas

In mathematics, solving for y is a fundamental concept that involves isolating the variable y in an equation. This can be achieved through various methods, including algebraic manipulation, substitution, and elimination. In this article, we will explore five different equations and formulas that involve solving for y, and provide step-by-step solutions to each one.

Equation 1: x - y = 15

Step 1: Isolate the variable y

To solve for y, we need to isolate the variable on one side of the equation. In this case, we can add y to both sides of the equation to get:

x - y + y = 15 + y

This simplifies to:

x = 15 + y

Step 2: Subtract 15 from both sides

Next, we can subtract 15 from both sides of the equation to get:

x - 15 = y

Conclusion

Therefore, the solution to the equation x - y = 15 is y = x - 15.

Equation 2: y = x + 15

Step 1: No need to isolate y

In this equation, y is already isolated on one side of the equation. Therefore, we can simply read off the solution:

y = x + 15

Conclusion

Therefore, the solution to the equation y = x + 15 is y = x + 15.

Equation 3: y = x/15

Step 1: No need to isolate y

In this equation, y is already isolated on one side of the equation. Therefore, we can simply read off the solution:

y = x/15

Conclusion

Therefore, the solution to the equation y = x/15 is y = x/15.

Equation 4: y = 15 - x

Step 1: No need to isolate y

In this equation, y is already isolated on one side of the equation. Therefore, we can simply read off the solution:

y = 15 - x

Conclusion

Therefore, the solution to the equation y = 15 - x is y = 15 - x.

Equation 5: y = x - 15

Step 1: No need to isolate y

In this equation, y is already isolated on one side of the equation. Therefore, we can simply read off the solution:

y = x - 15

Conclusion

Therefore, the solution to the equation y = x - 15 is y = x - 15.

In conclusion, solving for y involves isolating the variable y in an equation. We have explored five different equations and formulas that involve solving for y, and provided step-by-step solutions to each one. By following these steps, you can easily solve for y in a variety of mathematical equations and formulas.

  • Solving for y involves isolating the variable y in an equation.
  • There are various methods for solving for y, including algebraic manipulation, substitution, and elimination.
  • Each equation and formula requires a unique approach to solve for y.
  • By following the steps outlined in this article, you can easily solve for y in a variety of mathematical equations and formulas.
  • Q: What is solving for y? A: Solving for y involves isolating the variable y in an equation.
  • Q: How do I solve for y? A: There are various methods for solving for y, including algebraic manipulation, substitution, and elimination.
  • Q: What are some common equations and formulas that involve solving for y? A: Some common equations and formulas that involve solving for y include x - y = 15, y = x + 15, y = x/15, y = 15 - x, and y = x - 15.
  • For more information on solving for y, check out the following resources:
  • Khan Academy: Solving for y
  • Mathway: Solving for y
  • Wolfram Alpha: Solving for y

In conclusion, solving for y is a fundamental concept in mathematics that involves isolating the variable y in an equation. By following the steps outlined in this article, you can easily solve for y in a variety of mathematical equations and formulas. Whether you are a student or a professional, understanding how to solve for y is essential for success in mathematics and beyond.
Solving for y: A Comprehensive Guide to Equations and Formulas - Q&A

In our previous article, we explored five different equations and formulas that involve solving for y, and provided step-by-step solutions to each one. However, we know that sometimes, the best way to learn is through asking questions and getting answers. In this article, we will address some of the most frequently asked questions about solving for y, and provide detailed answers to help you better understand this concept.

Q: What is solving for y?

A: Solving for y involves isolating the variable y in an equation. This means that you need to get y by itself on one side of the equation, without any other variables or constants attached to it.

Q: How do I solve for y?

A: There are various methods for solving for y, including algebraic manipulation, substitution, and elimination. The method you choose will depend on the type of equation you are working with and the variables involved.

Q: What are some common equations and formulas that involve solving for y?

A: Some common equations and formulas that involve solving for y include:

  • x - y = 15
  • y = x + 15
  • y = x/15
  • y = 15 - x
  • y = x - 15

Q: How do I isolate y in an equation?

A: To isolate y in an equation, you need to get y by itself on one side of the equation. This can be done by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same value.

Q: What is the difference between solving for y and solving for x?

A: Solving for y and solving for x are two different concepts. Solving for y involves isolating the variable y in an equation, while solving for x involves isolating the variable x in an equation.

Q: Can I use a calculator to solve for y?

A: Yes, you can use a calculator to solve for y. However, it's always a good idea to understand the underlying math and to check your work to make sure that the solution is correct.

Q: How do I check my work when solving for y?

A: To check your work when solving for y, you can plug the solution back into the original equation and make sure that it is true. You can also use a calculator to check your work.

Q: What are some common mistakes to avoid when solving for y?

A: Some common mistakes to avoid when solving for y include:

  • Not isolating y correctly
  • Not checking your work
  • Not using the correct method for solving for y
  • Not considering all possible solutions

In conclusion, solving for y is a fundamental concept in mathematics that involves isolating the variable y in an equation. By understanding how to solve for y, you can better understand a wide range of mathematical concepts and formulas. We hope that this Q&A article has been helpful in addressing some of the most frequently asked questions about solving for y.

  • For more information on solving for y, check out the following resources:
  • Khan Academy: Solving for y
  • Mathway: Solving for y
  • Wolfram Alpha: Solving for y
  • Q: What is solving for y? A: Solving for y involves isolating the variable y in an equation.
  • Q: How do I solve for y? A: There are various methods for solving for y, including algebraic manipulation, substitution, and elimination.
  • Q: What are some common equations and formulas that involve solving for y? A: Some common equations and formulas that involve solving for y include x - y = 15, y = x + 15, y = x/15, y = 15 - x, and y = x - 15.
  • Solving for y involves isolating the variable y in an equation.
  • There are various methods for solving for y, including algebraic manipulation, substitution, and elimination.
  • Each equation and formula requires a unique approach to solve for y.
  • By following the steps outlined in this article, you can easily solve for y in a variety of mathematical equations and formulas.